420726150 has 240 divisors, whose sum is σ = 1289323728. Its totient is φ = 101088000.

The previous prime is 420726127. The next prime is 420726161. The reversal of 420726150 is 51627024.

420726150 is a `hidden beast` number, since 42 + 0 + 7 + 2 + 615 + 0 = 666.

420726150 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3211585 + ... + 3211715.

Almost surely, 2^420726150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420726150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644661864).

420726150 is an abundant number, since it is smaller than the sum of its proper divisors (868597578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420726150 is a wasteful number, since it uses less digits than its factorization.

420726150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 420726150 is about 20511.6101269501. The cubic root of 420726150 is about 749.3185810785.

The spelling of 420726150 in words is "four hundred twenty million, seven hundred twenty-six thousand, one hundred fifty".